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Math Problems
Grade 6
Counting principle
Lamar works at a stable and is getting a horse ready to ride. There are
4
4
4
saddles and
5
5
5
saddle blankets in the tack room. Using exactly one of each item, how many different ways can Lamar prepare the horse?
\newline
_
_
_
_
\_\_\_\_
____
ways
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A family is planning a camping trip at a state park. The state park has
6
6
6
campgrounds, each with
2
2
2
campsites. How many different ways can the family plan a camping trip?
\newline
_____ ways
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At a local hardware store, Zach is selecting tools for a small toolkit, which will include one of each type of tool. There are
3
3
3
hammers and
3
3
3
screwdrivers to choose from. How many different toolkits can Zach build?
\newline
_
_
_
_
_
_
_
\_\_\_\_\_\_\_
_______
toolkits
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Farid is at a music festival where several bands play at the same time. There are
4
4
4
bands playing from
3
:
00
3:00
3
:
00
to
4
:
00
4:00
4
:
00
, and
3
3
3
bands playing from
4
:
00
4:00
4
:
00
to
5
:
00
5:00
5
:
00
. Assuming Farid goes to see exactly one band every hour, how many different sets of bands can Farid see at the music festival?
\newline
____ ways
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Samuel is building a snowman. There are
9
9
9
hats and
2
2
2
scarves to choose from. If Samuel uses one of each item, how many different snowmen can he make?
\newline
_____ snowmen
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Lester is ordering a sandwich from a deli. There are
8
8
8
types of meat to choose from and
2
2
2
bread choices. How many different sandwiches can Lester order?
\newline
_____ sandwiches
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Shelley is putting together a business outfit. There are
3
3
3
pairs of pants and
2
2
2
dress shirts to choose from. How many different outfits can Shelley put together?
\newline
_
_
_
_
_
_
_
\_\_\_\_\_\_\_
_______
outfits
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Gary is ordering a sandwich from a deli. There are
3
3
3
types of meat to choose from and
6
6
6
bread choices. How many different sandwiches can Gary order?
\newline
_____ sandwiches
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Vince has an assortment of mismatched dishes, so the dinner table looks different from one night to the next. There are
5
5
5
kinds of plates and
3
3
3
kinds of glasses. How many different appearances can a place setting have?
\newline
_
_
_
_
_
_
_
_
_
\_\_\_\_\_\_\_\_\_
_________
appearances
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Ron is making trail mix for a camping trip. Ron wants to use one kind of nuts and one kind of dried fruit, and there are
10
10
10
kinds of nuts and
2
2
2
kinds of dried fruit available. How many different trail mixes can Ron make?
\newline
_
_
_
_
_
_
_
\_\_\_\_\_\_\_
_______
trail mixes
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Janelle, a singer, is putting together a backup band for a recording and posted an advertisement looking for musicians. She got replies from
2
2
2
lead guitarists and
8
8
8
drummers. How many different backup bands is it possible for Janelle to put together?
\newline
_____ bands
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Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line?
\newline
Answer:
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John is working at a hair salon and building a tool kit. There are
10
10
10
hair dryers and
2
2
2
straighteners to choose from. How many different kits can John make that use one of each item?
\newline
_____ kits
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Terrence is going out to a pasta dinner. There are
8
8
8
types of noodles to choose from and
2
2
2
choices of vegetable side. How many different pasta dinners can Terrence order?
\newline
_____ pasta dinners
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Jared is selecting animals for a new petting zoo. There are
4
4
4
ponies and
5
5
5
rabbits to choose from. In how many different ways can Jared create a petting zoo with one of each animal?
\newline
_____ petting zoos
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Erik is making a care package for a friend living abroad. There are
2
2
2
snacks and
8
8
8
blankets to choose from. How many different care packages can Erik make using exactly one of each item?
\newline
_____ care packages
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Kiera is going out to a pasta dinner. There are
3
3
3
types of noodles to choose from and
4
4
4
choices of vegetable side. How many different pasta dinners can Kiera order?
\newline
_____ pasta dinners
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Jordan is making an ice cream sandwich. There are
2
2
2
types of sandwich cookies and
2
2
2
types of ice cream to choose from. How many different ice cream sandwiches can Jordan make using exactly one of each item?
\newline
_
_
_
_
\_\_\_\_
____
ice cream sandwiches
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Jayce and his family are at the pet store getting supplies for a new cat, which they will be adopting from the animal shelter later today. The pet store has
3
3
3
kinds of food dishes and
6
6
6
kinds of cat food. If they get one of each item, how many different combinations of supplies can Jayce's family get?
\newline
_
_
_
_
\_\_\_\_
____
combinations
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Jeanette is planning the menu for a dinner party. There are
6
6
6
appetizers and
3
3
3
main dishes to choose from. How many different meals can Jeanette serve?
\newline
_
_
_
_
\_\_\_\_
____
meals
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Colleen is designing a bathroom. There are
6
6
6
different bathtubs and
2
2
2
different sinks to choose from. How many different bathrooms can Colleen design?
\newline
_
_
_
_
\_\_\_\_
____
bathrooms
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